GCF of 3456/287, 9152/1875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3456/287, 9152/1875 i.e 64/538125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3456/287, 9152/1875.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3456/287,9152/1875?
Given fractions are 3456/287,9152/1875
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3456/287,9152/1875, numerators are 3456,9152
Denominators are 287,1875
The GCF of 3456,9152 is 64 .
LCM of 287,1875 is 538125.
The greatest common factor of 3456/287,9152/1875 = [GCF of 3456,9152]/[LCM of 287,1875]= 64/538125
Therefore, the GCF of 3456/287,9152/1875 is 64/538125.
To find the highest common factor of 3456,9152, we have to find the factors of both numbers and list the highest common factor.
The factors of 3456 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456
The factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152
The HCF of 3456,9152 is 64.
Lets's calculate GCF of 3456,9152
| 2 | 3456, 9152 |
| 2 | 1728, 4576 |
| 2 | 864, 2288 |
| 2 | 432, 1144 |
| 2 | 216, 572 |
| 2 | 108, 286 |
| 54, 143 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 3456,9152 By Matching Biggest Common Factor Method
Now, list down the factors of 3456
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,288,384,432,576,864,1152,1728,3456
Now, list down the factors of 9152
:1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152
Greatest Common Factor
We found the factors 3456,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 3456,9152 is 64.
Lets's calculate LCM of 287,1875
Given numbers has no common factors except 1. So, there LCM is their product i.e 538125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/538125
Therefore, the GCF of Fractions 3456/287,9152/1875 is 64/538125
Least Common Multiple of 287,1875 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 287,1875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,1875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,1875) x common factors =1 x 1 = 1
LCM(287,1875) = ( 287 × 1875 ) / 1
LCM(287,1875) = 538125 / 1
LCM(287,1875) = 538125
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FAQs on GCF of Fractions of 3456/287, 9152/1875
1. What is the HCF of 3456,9152?
The HCF of 3456,9152 is 64
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3456/287, 9152/1875?
Answer: GCF of Numerators as per given numbers 3456/287, 9152/1875 is
GCF of Numerators i.e. for 3456,9152 is 64
LCM of denominators i.e. for 287,1875 is 538125.
Thus, GCF of Fractions is 64/538125.Finally, GCF of Fractions for 3456/287, 9152/1875 is 64/538125.